41903968 has 48 divisors (see below), whose sum is σ = 89011440. Its totient is φ = 19365120.

The previous prime is 41903957. The next prime is 41903969. The reversal of 41903968 is 86930914.

It is a self number, because there is not a number n which added to its sum of digits gives 41903968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41903969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022028 + ... + 1022068.

It is an arithmetic number, because the mean of its divisors is an integer number (1854405).

Almost surely, 2^41903968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44505720).

41903968 is an abundant number, since it is smaller than the sum of its proper divisors (47107472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41903968 is an frugal number, since it uses more digits than its factorization.

41903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 41903968 is about 6473.3274287649. The cubic root of 41903968 is about 347.3375339089.

The spelling of 41903968 in words is "forty-one million, nine hundred three thousand, nine hundred sixty-eight".